A Cayenne nyelv

Gépelési szabályok



Gépelési szabályok

"Star"

# : #1
Variable
A:s

, x : A x : A
Apply
f : (x::A) -> B a : A

f a : B[x:=a]
Lambda
, x : A b : B ((x::A) -> B) : t

(\(x::A) -> b) : ((x::A) -> B)
Pi
A:s , x : A B : t

((x::A) -> B) : t
Conversion
a:A B:s A =ß B

a : B
Weakening
b : B B : s

, x : B b : B
Data
Aij : #

k > 0, nk 0
data C1 A11 ... A1n1 | ... | Ck Ak1 ... Aknk : #
Constructor
T data C1 A11 ... A1n1 | ... | Ck Ak1 ... Aknk

T : #

Ci @ T : Ai1 -> ... -> Aiki -> T
Case

Product
A1 : s1 ... An : sn ... ej : Aj

sig { l1 :: A1 1; ... lk :: Ak k; ... ln :: An n } : #u
where all i is either empty or "= ei".
where j belongs to a subset of 1..n.
Record

Select

Beta

(\(x::A) -> B) C =ß B[x := C]
Sel

{ l1 :: A1 = e1; ... ln :: An = en } . lk =ß ek[l1 := e.l1, ... ln := e.ln]
Sel-Type
e : { l1 :: A1 1; ... lk :: Ak = ek; ... ln :: An n }

e . lk =ß ek[l1 := e.l1, ... lb := e.ln]
where i is either empty or "= ei".